Question

Total number of orbitals when \( n = 3 \)?

Hint:

The total number of orbitals for a given value of \( n \) is \( n^2 \), which accounts for all s, p, d, and f orbitals that can exist at that energy level.

Answer 1

For a given principal quantum number \( n \), the total number of orbitals is given by \( n^2 \). For \( n = 3 \), the number of orbitals is: \[ n^2 = 3^2 = 9 \] Thus, there are 9 orbitals in total when \( n = 3 \). These include 1 s orbital, 3 p orbitals, and 5 d orbitals.